Answer:
Lateral Surface Area = 472 m²
Total Surface Area = 486m²
Step-by-step explanation:
The above prism is a Triangular prism
a) Lateral Surface Area = Perimeter of the Base × H
H = 29m
Perimeter of the Base = (7m + 7.28m + 2m)
= 16.28m
Lateral Surface Area = 16.28m × 29m
= 472.12 m²
Approximately to the nearest whole number = 472 m²
b) Total Surface Area
Triangular prism =
2 Triangles and 3 Rectangles
1st Triangle = 1/2 × base × Height
= 1/2 × 2m × 7m
= 7m²
2nd Triangle = 1/2 × base × height
= 1/2 × 2m × 7m
= 7m²
1st Rectangle = Length × Width
= 29m × 2m = 58m²
2nd Rectangle =
Length × Width
= 29m × 7.28m = 211.12m²
Length × Width
= 29m × 7m = 203m²
Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²
= 486.12m²
Approximately to the nearest whole number = 486 m²
Option A is the correct option
Answer:
Step-by-step explanation:
By the tangent ratio, 
. Substituting the given values into this equation gives us:
° 
° 
(Multiply both sides of the equation by 
)
(Divide both sides of the equation by 
)
Hope this helps!
Answer:
8.5 inches
Step-by-step explanation:
To find the height of Aba's dog -
Subtract 5 1/2 from 14 to find the amount she grew:
The result should be 8.5 or 8 1/2.
So Aba's dog grew 8.5 inches.
Answer:
Option C is right.
Step-by-step explanation:
Given is a graph with two triangles marked on it.
Triangle ABC is in the I quadrant with vertices (2,2) (2,10) and (8,12)
Triange A'B'C' is in the III quadrant with vertices (-1,-1), (-1,-5) and (-4,-6)
On comparison we find corresponding side of AB is A'B'
Length of AB = 8 and Length of A'B' = 4.
Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2.
Now since moved to III quadrant from I quadrant we find that there is a rotation of triangle ABC about the origin. The degree of rotation is 180 degrees.
Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees
Answer:
Step-by-step explanation:
let : x the length and y the width .... ( x > y and x ; y reals numbers )
the perimeter is : 2(x+y)
2(x+y) = 55...(1)
x/y = 7/4 ...(2)
by (2) : x = (7/4)y
subsct in (1) : 2( (7/4)y +y ) =55
(7/2)y +2y =55
multiply by 2
7y +4y = 110
11y = 110
y = 10
x = (7/4)(10)
x = 35/2
